Struct BinaryField1b

pub struct BinaryField1b(/* private fields */);

Implementations

impl BinaryField1b

pub const fn new(value: SmallU<1>) -> Self

pub const fn val(self) -> SmallU<1>

impl BinaryField1b

pub unsafe fn new_unchecked(val: u8) -> Self

Creates value without checking that it is within valid range (0 or 1)

Safety

Value should not exceed 1

Trait Implementations

impl Add<&BinaryField1b> for BinaryField1b

type Output = BinaryField1b

The resulting type after applying the + operator.

fn add(self, rhs: &Self) -> Self::Output

Performs the + operation.

impl Add<AESTowerField8b> for BinaryField1b

type Output = AESTowerField8b

The resulting type after applying the + operator.

fn add(self, rhs: AESTowerField8b) -> Self::Output

Performs the + operation.

impl Add<BinaryField128bGhash> for BinaryField1b

type Output = BinaryField128bGhash

The resulting type after applying the + operator.

fn add(self, rhs: BinaryField128bGhash) -> Self::Output

Performs the + operation.

impl Add<BinaryField1b> for AESTowerField8b

type Output = AESTowerField8b

The resulting type after applying the + operator.

fn add(self, rhs: BinaryField1b) -> Self::Output

Performs the + operation.

impl Add<BinaryField1b> for BinaryField128bGhash

type Output = BinaryField128bGhash

The resulting type after applying the + operator.

fn add(self, rhs: BinaryField1b) -> Self::Output

Performs the + operation.

impl Add for BinaryField1b

type Output = BinaryField1b

The resulting type after applying the + operator.

fn add(self, rhs: Self) -> Self::Output

Performs the + operation.

impl AddAssign<&BinaryField1b> for BinaryField1b

fn add_assign(&mut self, rhs: &Self)

Performs the += operation.

impl AddAssign<BinaryField1b> for AESTowerField8b

fn add_assign(&mut self, rhs: BinaryField1b)

Performs the += operation.

impl AddAssign<BinaryField1b> for BinaryField128bGhash

fn add_assign(&mut self, rhs: BinaryField1b)

Performs the += operation.

impl AddAssign for BinaryField1b

fn add_assign(&mut self, rhs: Self)

Performs the += operation.

impl AsSinglePacked for BinaryField1b

type Packed = PackedPrimitiveType<SmallU<1>, BinaryField1b>

fn to_single_packed(self) -> Self::Packed

fn from_single_packed(value: Self::Packed) -> Self

impl BinaryField for BinaryField1b

const MULTIPLICATIVE_GENERATOR: BinaryField1b

const N_BITS: usize = Self::DEGREE

impl Clone for BinaryField1b

fn clone(&self) -> BinaryField1b

Returns a duplicate of the value.

fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source.

impl Debug for BinaryField1b

fn fmt(&self, f: &mut Formatter<'_>) -> Result

Formats the value using the given formatter.

impl Default for BinaryField1b

fn default() -> BinaryField1b

Returns the “default value” for a type.

impl DeserializeBytes for BinaryField1b

fn deserialize(read_buf: impl Buf) -> Result<Self, SerializationError>

impl Display for BinaryField1b

fn fmt(&self, f: &mut Formatter<'_>) -> Result

Formats the value using the given formatter.

impl Distribution<BinaryField1b> for StandardUniform

fn sample<R: Rng + ?Sized>(&self, rng: &mut R) -> BinaryField1b

Generate a random value of T, using rng as the source of randomness.

fn sample_iter<R>(self, rng: R) -> Iter<Self, R, T>

where R: Rng, Self: Sized,

Create an iterator that generates random values of T, using rng as the source of randomness.

fn map<F, S>(self, func: F) -> Map<Self, F, T, S>

where F: Fn(T) -> S, Self: Sized,

Map sampled values to type S

impl ExtensionField<BinaryField1b> for AESTowerField8b

const LOG_DEGREE: usize = 3usize

Base-2 logarithm of the extension degree.

fn basis_checked(i: usize) -> Result<Self, Error>

For 0 <= i < DEGREE, returns i-th basis field element.

fn from_bases_sparse( base_elems: impl IntoIterator<Item = BinaryField1b>, log_stride: usize, ) -> Result<Self, Error>

A specialized version of from_bases which assumes that only base field elements with indices dividing 2^log_stride can be nonzero.

fn iter_bases(&self) -> impl Iterator<Item = BinaryField1b>

Iterator over base field elements.

fn into_iter_bases(self) -> impl Iterator<Item = BinaryField1b>

Convert into an iterator over base field elements.

unsafe fn get_base_unchecked(&self, i: usize) -> BinaryField1b

Returns the i-th base field element without bounds checking.

fn square_transpose(values: &mut [Self]) -> Result<(), Error>

Transpose square block of subfield elements within values in place.

const DEGREE: usize = _

Extension degree.

fn basis(i: usize) -> Self

For 0 <= i < DEGREE, returns i-th basis field element.

fn from_bases(base_elems: impl IntoIterator<Item = F>) -> Result<Self, Error>

Create an extension field element from a slice of base field elements in order consistent with basis(i) return values. Potentially faster than taking an inner product with a vector of basis elements.

fn get_base(&self, i: usize) -> F

Returns the i-th base field element.

impl ExtensionField<BinaryField1b> for BinaryField128bGhash

const LOG_DEGREE: usize = 7usize

Base-2 logarithm of the extension degree.

fn basis_checked(i: usize) -> Result<Self, Error>

For 0 <= i < DEGREE, returns i-th basis field element.

fn from_bases_sparse( base_elems: impl IntoIterator<Item = BinaryField1b>, log_stride: usize, ) -> Result<Self, Error>

A specialized version of from_bases which assumes that only base field elements with indices dividing 2^log_stride can be nonzero.

fn iter_bases(&self) -> impl Iterator<Item = BinaryField1b>

Iterator over base field elements.

fn into_iter_bases(self) -> impl Iterator<Item = BinaryField1b>

Convert into an iterator over base field elements.

unsafe fn get_base_unchecked(&self, i: usize) -> BinaryField1b

Returns the i-th base field element without bounds checking.

fn square_transpose(values: &mut [Self]) -> Result<(), Error>

Transpose square block of subfield elements within values in place.

const DEGREE: usize = _

Extension degree.

fn basis(i: usize) -> Self

For 0 <= i < DEGREE, returns i-th basis field element.

fn from_bases(base_elems: impl IntoIterator<Item = F>) -> Result<Self, Error>

Create an extension field element from a slice of base field elements in order consistent with basis(i) return values. Potentially faster than taking an inner product with a vector of basis elements.

fn get_base(&self, i: usize) -> F

Returns the i-th base field element.

impl Field for BinaryField1b

const ZERO: Self

The zero element of the field, the additive identity.

const ONE: Self

The one element of the field, the multiplicative identity.

const CHARACTERISTIC: usize = 2usize

The characteristic of the field.

fn double(&self) -> Self

Doubles this element.

fn is_zero(&self) -> bool

Returns true iff this element is zero.

fn invert(&self) -> Option<Self>

Computes the multiplicative inverse of this element, failing if the element is zero.

fn pow<S: AsRef<[u64]>>(&self, exp: S) -> Self

Exponentiates self by exp, where exp is a little-endian order integer exponent.

fn pow_vartime<S: AsRef<[u64]>>(&self, exp: S) -> Self

Exponentiates self by exp, where exp is a little-endian order integer exponent.

impl From<BinaryField1b> for AESTowerField8b

fn from(elem: BinaryField1b) -> Self

Converts to this type from the input type.

impl From<BinaryField1b> for BinaryField128bGhash

fn from(value: BinaryField1b) -> Self

Converts to this type from the input type.

impl From<BinaryField1b> for u8

fn from(value: BinaryField1b) -> Self

Converts to this type from the input type.

impl From<bool> for BinaryField1b

fn from(value: bool) -> Self

Converts to this type from the input type.

impl From<u8> for BinaryField1b

fn from(val: u8) -> Self

Converts to this type from the input type.

impl Hash for BinaryField1b

fn hash<__H: Hasher>(&self, state: &mut __H)

Feeds this value into the given Hasher.

fn hash_slice<H>(data: &[Self], state: &mut H)

where H: Hasher, Self: Sized,

Feeds a slice of this type into the given Hasher.

impl InvertOrZero for BinaryField1b

fn invert_or_zero(self) -> Self

Returns the inverted value or zero in case when self is zero

impl Mul<&BinaryField1b> for BinaryField1b

type Output = BinaryField1b

The resulting type after applying the * operator.

fn mul(self, rhs: &Self) -> Self::Output

Performs the * operation.

impl Mul<AESTowerField8b> for BinaryField1b

type Output = AESTowerField8b

The resulting type after applying the * operator.

fn mul(self, rhs: AESTowerField8b) -> Self::Output

Performs the * operation.

impl Mul<BinaryField128bGhash> for BinaryField1b

type Output = BinaryField128bGhash

The resulting type after applying the * operator.

fn mul(self, rhs: BinaryField128bGhash) -> Self::Output

Performs the * operation.

impl Mul<BinaryField1b> for AESTowerField8b

type Output = AESTowerField8b

The resulting type after applying the * operator.

fn mul(self, rhs: BinaryField1b) -> Self::Output

Performs the * operation.

impl Mul<BinaryField1b> for BinaryField128bGhash

type Output = BinaryField128bGhash

The resulting type after applying the * operator.

fn mul(self, rhs: BinaryField1b) -> Self::Output

Performs the * operation.

impl Mul for BinaryField1b

type Output = BinaryField1b

The resulting type after applying the * operator.

fn mul(self, rhs: Self) -> Self::Output

Performs the * operation.

impl MulAssign<&BinaryField1b> for BinaryField1b

fn mul_assign(&mut self, rhs: &Self)

Performs the *= operation.

impl MulAssign<BinaryField1b> for AESTowerField8b

fn mul_assign(&mut self, rhs: BinaryField1b)

Performs the *= operation.

impl MulAssign<BinaryField1b> for BinaryField128bGhash

fn mul_assign(&mut self, rhs: BinaryField1b)

Performs the *= operation.

impl MulAssign for BinaryField1b

fn mul_assign(&mut self, rhs: Self)

Performs the *= operation.

impl Neg for BinaryField1b

type Output = BinaryField1b

The resulting type after applying the - operator.

fn neg(self) -> Self::Output

Performs the unary - operation.

impl Ord for BinaryField1b

fn cmp(&self, other: &BinaryField1b) -> Ordering

This method returns an Ordering between self and other.

fn max(self, other: Self) -> Self

where Self: Sized,

Compares and returns the maximum of two values.

fn min(self, other: Self) -> Self

where Self: Sized,

Compares and returns the minimum of two values.

fn clamp(self, min: Self, max: Self) -> Self

where Self: Sized,

Restrict a value to a certain interval.

impl PartialEq for BinaryField1b

fn eq(&self, other: &BinaryField1b) -> bool

Tests for self and other values to be equal, and is used by ==.

fn ne(&self, other: &Rhs) -> bool

Tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason.

impl PartialOrd for BinaryField1b

fn partial_cmp(&self, other: &BinaryField1b) -> Option<Ordering>

This method returns an ordering between self and other values if one exists.

fn lt(&self, other: &Rhs) -> bool

Tests less than (for self and other) and is used by the < operator.

fn le(&self, other: &Rhs) -> bool

Tests less than or equal to (for self and other) and is used by the <= operator.

fn gt(&self, other: &Rhs) -> bool

Tests greater than (for self and other) and is used by the > operator.

fn ge(&self, other: &Rhs) -> bool

Tests greater than or equal to (for self and other) and is used by the >= operator.

impl<'a> Product<&'a BinaryField1b> for BinaryField1b

fn product<I: Iterator<Item = &'a Self>>(iter: I) -> Self

Takes an iterator and generates Self from the elements by multiplying the items.

impl Product for BinaryField1b

fn product<I: Iterator<Item = Self>>(iter: I) -> Self

Takes an iterator and generates Self from the elements by multiplying the items.

impl SerializeBytes for BinaryField1b

fn serialize(&self, write_buf: impl BufMut) -> Result<(), SerializationError>

impl Square for BinaryField1b

fn square(self) -> Self

Returns the value multiplied by itself

impl Sub<&BinaryField1b> for BinaryField1b

type Output = BinaryField1b

The resulting type after applying the - operator.

fn sub(self, rhs: &Self) -> Self::Output

Performs the - operation.

impl Sub<AESTowerField8b> for BinaryField1b

type Output = AESTowerField8b

The resulting type after applying the - operator.

fn sub(self, rhs: AESTowerField8b) -> Self::Output

Performs the - operation.

impl Sub<BinaryField128bGhash> for BinaryField1b

type Output = BinaryField128bGhash

The resulting type after applying the - operator.

fn sub(self, rhs: BinaryField128bGhash) -> Self::Output

Performs the - operation.

impl Sub<BinaryField1b> for AESTowerField8b

type Output = AESTowerField8b

The resulting type after applying the - operator.

fn sub(self, rhs: BinaryField1b) -> Self::Output

Performs the - operation.

impl Sub<BinaryField1b> for BinaryField128bGhash

type Output = BinaryField128bGhash

The resulting type after applying the - operator.

fn sub(self, rhs: BinaryField1b) -> Self::Output

Performs the - operation.

impl Sub for BinaryField1b

type Output = BinaryField1b

The resulting type after applying the - operator.

fn sub(self, rhs: Self) -> Self::Output

Performs the - operation.

impl SubAssign<&BinaryField1b> for BinaryField1b

fn sub_assign(&mut self, rhs: &Self)

Performs the -= operation.

impl SubAssign<BinaryField1b> for AESTowerField8b

fn sub_assign(&mut self, rhs: BinaryField1b)

Performs the -= operation.

impl SubAssign<BinaryField1b> for BinaryField128bGhash

fn sub_assign(&mut self, rhs: BinaryField1b)

Performs the -= operation.

impl SubAssign for BinaryField1b

fn sub_assign(&mut self, rhs: Self)

Performs the -= operation.

impl<'a> Sum<&'a BinaryField1b> for BinaryField1b

fn sum<I: Iterator<Item = &'a Self>>(iter: I) -> Self

Takes an iterator and generates Self from the elements by “summing up” the items.

impl Sum for BinaryField1b

fn sum<I: Iterator<Item = Self>>(iter: I) -> Self

Takes an iterator and generates Self from the elements by “summing up” the items.

impl TowerField for BinaryField1b

fn min_tower_level(self) -> usize

Returns the smallest valid TOWER_LEVEL in the tower that can fit the same value.

fn mul_primitive(self, _: usize) -> Result<Self, Error>

Multiplies a field element by the canonical primitive element of the extension $T_{\iota + 1} / T_{iota}$.

const TOWER_LEVEL: usize = _

The level $\iota$ in the tower, where this field is isomorphic to $T_{\iota}$.

fn basis(iota: usize, i: usize) -> Result<Self, Error>

Returns the i’th basis element of this field as an extension over the tower subfield with level $\iota$.

impl TryFrom<AESTowerField8b> for BinaryField1b

type Error = ()

The type returned in the event of a conversion error.

fn try_from(elem: AESTowerField8b) -> Result<Self, Self::Error>

Performs the conversion.

impl TryInto<BinaryField1b> for BinaryField128bGhash

type Error = ()

The type returned in the event of a conversion error.

fn try_into(self) -> Result<BinaryField1b, Self::Error>

Performs the conversion.

impl WithUnderlier for BinaryField1b

type Underlier = SmallU<1>

Underlier primitive type

fn to_underlier(self) -> Self::Underlier

Convert value to underlier.

fn to_underlier_ref(&self) -> &Self::Underlier

fn to_underlier_ref_mut(&mut self) -> &mut Self::Underlier

fn to_underliers_ref(val: &[Self]) -> &[Self::Underlier]

fn to_underliers_ref_mut(val: &mut [Self]) -> &mut [Self::Underlier]

fn from_underlier(val: Self::Underlier) -> Self

fn from_underlier_ref(val: &Self::Underlier) -> &Self

fn from_underlier_ref_mut(val: &mut Self::Underlier) -> &mut Self

fn from_underliers_ref(val: &[Self::Underlier]) -> &[Self]

fn from_underliers_ref_mut(val: &mut [Self::Underlier]) -> &mut [Self]

fn to_underliers_arr<const N: usize>(val: [Self; N]) -> [Self::Underlier; N]

fn to_underliers_arr_ref<const N: usize>( val: &[Self; N], ) -> &[Self::Underlier; N]

fn to_underliers_arr_ref_mut<const N: usize>( val: &mut [Self; N], ) -> &mut [Self::Underlier; N]

fn from_underliers_arr<const N: usize>(val: [Self::Underlier; N]) -> [Self; N]

fn from_underliers_arr_ref<const N: usize>( val: &[Self::Underlier; N], ) -> &[Self; N]

fn from_underliers_arr_ref_mut<const N: usize>( val: &mut [Self::Underlier; N], ) -> &mut [Self; N]

fn mutate_underlier( self, f: impl FnOnce(Self::Underlier) -> Self::Underlier, ) -> Self

impl Zeroable for BinaryField1b

fn zeroed() -> Self

Calls zeroed.

impl Copy for BinaryField1b

impl Eq for BinaryField1b

impl StructuralPartialEq for BinaryField1b